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Finding the Third Proportional to 269,403,884 and 394,028,116

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Solution

The third proportional to 269,403,884 and 394,028,116 is: 576,302,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,403,884 : 394,028,116 = 394,028,116 : x
  2. Step 2: Convert to fraction form
    269,403,884/394,028,116 = 394,028,116/x
  3. Step 3: Cross multiply
    269,403,884x = 394,028,116 × 394,028,116
  4. Step 4: Simplify right side
    269,403,884x = 155,258,156,198,509,440
  5. Step 5: Solve for x
    x = 155,258,156,198,509,440/269,403,884
  6. Step 6: Final answer
    x = 576,302,590.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.